Variations of Stress Intensity Factors of a Planar Interfacial Crack Subjected to Mixed Mode Loading

TLDR: In this article, a mixed-mode interfacial crack in 3D bimaterials is analyzed by singular integral equations on the basis of the body force method, where unknown body force densities are approximated by the products of the fundamental density functions and power series.

Abstract: In this paper, a mixed-mode interfacial crack in three dimensional bimaterials is analyzed by singular integral equations on the basis of the body force method. In the numerical analysis, unknown body force densities are approximated by the products of the fundamental density functions and power series, where the fundamental density functions are chosen to express a two-dimensional interface crack exactly. The results show that the present method yields smooth variations of mixed mode stress intensity factor along the crack front accurately. The effect of crack shape on the stress intensity factor for 3D interface cracks is also discussed on the basis of present solution. Then, it is found that the stress intensity factors KII and KIII are always insensitive to the varying ratio of shear modulus, and determined by Poisson's ratio alone. Distributions of stress intensity factor are indicated in tables and figures with varying the rectangular shape and Poisson's ratio.